Expert Mathematics Sets Class 11 Level 7

यदि \(A=\{1,2,3,4,5\}\) है तो (A) के कितने उपसमुच्चय (2) और (5) दोनों को रखते हैं?

If \(A=\{1,2,3,4,5\}\) then how many subsets of (A) contain both (2) and (5)?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

The elements (2) and (5) are fixed and the remaining (3) elements are free, so \(2^3=8\). In exams fix compulsory elements first.

Step 2

Why this answer is correct

The correct answer is C. (8). The elements (2) and (5) are fixed and the remaining (3) elements are free, so \(2^3=8\). In exams fix compulsory elements first.

Step 3

Exam Tip

(2) और (5) निश्चित हैं और बाकी (3) तत्व स्वतंत्र हैं इसलिए \(2^3=8\)। परीक्षा में अनिवार्य तत्वों को पहले निश्चित करें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5\}\) है तो (A) के कितने उपसमुच्चय (2) और (5) दोनों को रखते हैं? / If \(A=\{1,2,3,4,5\}\) then how many subsets of (A) contain both (2) and (5)?

Correct Answer: C. (8). Explanation: (2) और (5) निश्चित हैं और बाकी (3) तत्व स्वतंत्र हैं इसलिए \(2^3=8\)। परीक्षा में अनिवार्य तत्वों को पहले निश्चित करें। / The elements (2) and (5) are fixed and the remaining (3) elements are free, so \(2^3=8\). In exams fix compulsory elements first.

Which concept should I revise for this Mathematics MCQ?

The elements (2) and (5) are fixed and the remaining (3) elements are free, so \(2^3=8\). In exams fix compulsory elements first.

What exam hint can help solve this Mathematics question?

(2) और (5) निश्चित हैं और बाकी (3) तत्व स्वतंत्र हैं इसलिए \(2^3=8\)। परीक्षा में अनिवार्य तत्वों को पहले निश्चित करें।

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